Linear+Equations+2C-1

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Linear equations are nothing more than simple algebraic equations whose graph is always a straight line. The most common form of a linear equation is: y = mx + b. There are three different kinds of levels of linear equations: easy, medium and difficult. All three of them can be solved b y thinking of the exact same statement for each one: "When solving for a particular variable in an equation, you must remember to isolate the variable first. " Once you isolate the variable, you will be able to solve just about anything.

First up, here is an example of an easy linear equation problem: Solve for y. ||= Explanation || 
 * = === Example #1 ===
 * 10 - 3y = 7 || Remember the statement from earlier? Just start simply by subtracting 10 from both sides. ||
 * -3y = -3 || Then, simply divide both sides by -3 . ||
 * x = 1 ||  ||

Moving up a level to the slightly more difficult equations like the one listed below:
 * = === Example #2 ===

Solve for x. ||||= Explanation ||   
 * 4x - 6 = 12x - 30  ||  Isolate "x". ||
 * <span style="font-family: Tahoma,Geneva,sans-serif;">-6 = 8x - 30 || <span style="font-family: Tahoma,Geneva,sans-serif;">Subtracted 4x from both sides of the equations. ||
 * 24 = 8x || Added 30 to both sides. ||  ||
 * <span style="font-family: Tahoma,Geneva,sans-serif;">3 = x || Divided both sides by 8. ||

<span style="font-family: Tahoma,Geneva,sans-serif;">Now here is a more difficult linear equation problem.
 * = === Example #3 ===

Solve for y. ||||||= Explanation || <span style="font-family: Tahoma,Geneva,sans-serif;"> 35y - 20 = 15y + 10 || <span style="font-family: Tahoma,Geneva,sans-serif;">Multiply both sides by 100 to get rid of the decimals. || y =\frac{30}{20} = \frac{3}{2} math || <span style="font-family: Tahoma,Geneva,sans-serif;">Finally, divide by 20 on both sides. Reduce the fraction. ||
 * <span style="font-family: Tahoma,Geneva,sans-serif;">.35y -.2= .15y + .1 <span style="font-family: Tahoma,Geneva,sans-serif;"> || <span style="font-family: Tahoma,Geneva,sans-serif;"> ||
 * <span style="font-family: Tahoma,Geneva,sans-serif;">100(.35y -.2)= 100(.15y + .1) <span style="font-family: Tahoma,Geneva,sans-serif;">
 * 20y-20 = 10 || <span style="font-family: Tahoma,Geneva,sans-serif;">Get all "y" variables on one side by subtracting 15y. ||
 * <span style="font-family: Tahoma,Geneva,sans-serif;">20y = 30 || <span style="font-family: Tahoma,Geneva,sans-serif;">Add 20 to each side. ||
 * math

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